Sökning: "Dan Laksov"

Hittade 3 avhandlingar innehållade orden Dan Laksov.

1. 1. Compactifying locally Cohen-Macaulay projective curves

   Författare :Morten Hønsen; Dan Laksov; Kristian Ranestad; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Cohen-Macaulay compactification; curves; algebraic space; Algebra and geometry; Algebra och geometri;

   Sammanfattning : We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. LÄS MER

3. 2. Moduli spaces of zero-dimensional geometric objects

   Författare :Christian Lundkvist; Dan Laksov; Jason Starr; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Commutative algebra; Moduli spaces; Algebra and geometry; Algebra och geometri;

   Sammanfattning : The topic of this thesis is the study of moduli spaces of zero-dimensional geometricobjects. The thesis consists of three articles each focusing on a particular moduli space.The first article concerns the Hilbert scheme Hilb(X). This moduli space parametrizesclosed subschemes of a fixed ambient scheme X. LÄS MER

4. 3. Families of cycles and the Chow scheme

   Författare :David Rydh; Dan Laksov; Martin Olsson; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Families of cycles; Chow scheme; Hilbert scheme; zero-cycles; divided powers; symmetric tensors; symmetric product; Weil restriction; norm functor; Algebra and geometry; Algebra och geometri;

   Sammanfattning : The objects studied in this thesis are families of cycles on schemes. A space — the Chow variety — parameterizing effective equidimensional cycles was constructed by Chow and van der Waerden in the first half of the twentieth century. Even though cycles are simple objects, the Chow variety is a rather intractable object. LÄS MER